We investigate continuity and invertibility of a family of pseudodifferential operators with symbol \(p(x,\omega )\) periodic on both variables \((x, \omega )\) . Some applications to Gabor frames are considered.

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Pseudodifferential Operators with Completely Periodic Symbols and Gabor Frames

  • Gianluca Garello,
  • Alessandro Morando

摘要

We investigate continuity and invertibility of a family of pseudodifferential operators with symbol \(p(x,\omega )\) periodic on both variables \((x, \omega )\) . Some applications to Gabor frames are considered.